Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,943 users

Graph the hyperbola with equation

0 votes

((x+1)^2)/9 - ((y+4)/25)=1

asked Jul 6, 2013 in PRECALCULUS by dkinz Apprentice

2 Answers

0 votes

The given hyperbola  equation is ((x+1)^2)/9 - (y+4)^2/25 = 1

Draw the coordinate plane

Draw  the  hyperbola  equation ((x+1)^2)/9 - (y+4)^2/25 = 1

 

answered Jul 6, 2013 by goushi Pupil
0 votes

The hyperbola equation is image.

The standard form of hyperbola is image.

  • Where, "a " is the number in the denominator of the positive term, If the x - term is positive, then the hyperbola is horizontal
  • a = semi - transverse axis , b = semi - conjugate axis
  • Center: (h, k ) Vertices: (h + a, k ), (h - a, k )
  • Foci: (h + c, k ), (h - c, k )
  •  Asympototes of hyperbola is image.

Write the equation in standard form of hyperbola : image.

image.

Compare the above equation with standard form of hyperbola equation.

a = semi - transverse axis = 3 ,

b = semi - conjugate axis = 5

Center: (h, k ) = (- 1, - 4)

Vertices: (h + a, k ) = (2, - 4), and (h - a, k ) = (- 4, - 4).

c2 = a2+ b2.

c2 =  52 + 32

= 25 + 9 = 34

c = √34.

Foci: (h + c, k ) = (- 1 + √34, - 4), and (h - c, k ) = (- 1 - √34, - 4).

 Asympototes of hyperbola is image.

image

image.

Graph of hyperbola:

  • Draw the coordinate plane.
  • Plot the center of hyperbola (- 1,- 4).
  • To graph the hyperbola go 5 units up and down from center point and 3 units left and right from center point.
  • Use these points to draw a rectangle .
  • Draw diagonal lines through the center and the corner of the rectangle. These are asymptotes.
  • The graph approaches the asymptotes but never actually touches them.
  • Draw the curves, beginning at each vertex separately, that hug the asymptotes the farther away from the vertices the curve gets.
  • Plot the vertices and foci of hyperbola.

answered Jul 7, 2014 by lilly Expert

Related questions

asked Nov 30, 2014 in PRECALCULUS by anonymous
asked Nov 30, 2014 in PRECALCULUS by anonymous
asked Dec 19, 2016 in ALGEBRA 2 by anonymous
...